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Question: Which of the following reactions would give caproic acid? A.\(n - {C_5}{H_{11}}Br\xrightarrow[{(ii...

Which of the following reactions would give caproic acid?
A.nC5H11Br(ii)CO2(i)Mg/Ethern - {C_5}{H_{11}}Br\xrightarrow[{(ii)C{O_2}}]{{(i)Mg/Ether}}
B.nC5H11Li(ii)H3O+(i)CO2n - {C_5}{H_{11}}Li\xrightarrow[{(ii){H_3}{O^ + }}]{{(i)C{O_2}}}
C.nC4H9Br(ii)CO2(iii)H3O+(i)Mg/Ethern - {C_4}{H_9}Br\xrightarrow[{(ii)C{O_2}(iii){H_3}{O^ + }}]{{(i)Mg/Ether}}
D.nC5H11MgBr+(CN)2(ii)H3O+(i)Δn - {C_5}{H_{11}}MgBr + {(CN)_2}\xrightarrow[{(ii){H_3}{O^ + }}]{{(i)\Delta }}

Explanation

Solution

The term ‘caproic acid’ is the common name given to hexanoic acid. It is a member of the carboxylic acid group. As the name suggests, it has six carbon atoms. Its molecular formula is C5H11COOH{C_5}{H_{11}}COOH . It can be prepared by any method that can be applied for the production of carboxylic acids.

Complete step by step answer:
A.When we react n-bromopentane (nC5H11Brn - {C_5}{H_{11}}Br) with magnesium metal in the presence of dry ether and carbon dioxide, then we get caproic acid (i.e., hexanoic acid). The reaction can be given as follows:
nC5H11Br(ii)CO2(i)Mg/EtherC5H11COOHn - {C_5}{H_{11}}Br\xrightarrow[{(ii)C{O_2}}]{{(i)Mg/Ether}}{C_5}{H_{11}}COOH
B.When we react nC5H11Lin - {C_5}{H_{11}}Li with carbon dioxide followed by hydrolysis, we obtain the following product:
nC5H11Li(ii)H3O+(i)CO2C5H11COC5H11n - {C_5}{H_{11}}Li\xrightarrow[{(ii){H_3}{O^ + }}]{{(i)C{O_2}}}{C_5}{H_{11}} - CO - {C_5}{H_{11}}
C.When we react n-bromobutane (nC4H9Brn - {C_4}{H_9}Br) with magnesium metal in the presence of dry ether and then with carbon dioxide followed by hydrolysis, then we get pentanoic acid. The chemical reaction can be given as follows:
nC4H9Br(ii)CO2(iii)H3O+(i)Mg/EtherC4H9COOHn - {C_4}{H_9}Br\xrightarrow[{(ii)C{O_2}(iii){H_3}{O^ + }}]{{(i)Mg/Ether}}{C_4}{H_9}COOH
D.When we heat pentyl magnesium bromide (nC5H11MgBrn - {C_5}{H_{11}}MgBr) with (CN)2{(CN)_2}followed by hydrolysis, then we get caproic acid as follows:
nC5H11MgBr+(CN)2(i)ΔC5H11CN+MgBrCN(ii)H3O+C5H11COOHn - {C_5}{H_{11}}MgBr + {(CN)_2}\xrightarrow{{(i)\Delta }}{C_5}{H_{11}}CN + MgBrCN\xrightarrow{{(ii){H_3}{O^ + }}}{C_5}{H_{11}}COOH
Thus option-A and D are correct.

Note:
The formation of caproic acid takes place as follows:
-When an alkyl halide reacts with magnesium in the presence of dry ether, we obtain a Grignard reagent.
-When a Grignard reagent reacts with carbon dioxide followed by the addition of a proton, then a carboxylic acid is formed with one carbon more than the Grignard reagent.
-Hence we obtain hexanoic acid from n-bromopentane.
-Also, when we react to a Grignard reagent with cyanogen (CN)2{(CN)_2}, then we get hexanenitrile.
-Hexanenitrile gives hexanoic acid upon further hydrolysis.